Follow all the usual transplanting instructions for Prunus trees.
Ensure that temperatures are mild and all chance of frost has passed before planting out, as Peach is a hardy plant.The fruit of this plum quite resembles a fuzzless peach.
There are a couple varieties of plum known as ‘peach plum’, as well as a peach/plum cross with the same name. This isn’t any of those.
Peach plum